Question

The curved surface area of cylinder is 4400cm2 and the circumference of its base is 110cm. Find the volume of the cylinder?​

Answer 1

$\huge \it{\underline{\underline{\purple{QUESTION࿐}}}}$The curved surface area of cylinder is 4400cm2 and the circumference of its base is 110cm. Find the volume of the cylinder?$</p><p>\huge\tt\pink{\underline {\underline {\blue {\bigstar\:Answer}}}}$

$Circumference \: of \: base =110cm$

$2πr=110cm$

$\longrightarrow \: 2 \times \frac{22}{7} \times r = 110 \\ \longrightarrow \: \frac{44}{7} \times r = 110 \\ \longrightarrow \: r \: = \frac{110 \times 7}{44} \\ \\ \longrightarrow \: r = \frac{770}{44} \\ \\ \longrightarrow \: r \: = 17.5$

$Curved \: Surface \: Area \:  = \: 4400cm ^{2} \\\longrightarrow 2 \times \pi \times r \times h \: = 4400 \\ \longrightarrow \: 2 \times \frac{22}{7} \times 17.5 \times h = 4400 \\ \longrightarrow \frac{44}{7} \times 17.5 \times h = 4400 \\ \longrightarrow44 \times 1.75 \times h = 4400 \times 7 \\\longrightarrow h = \frac{4400 \times 7}{44 \times 1.75} \\ \longrightarrow \: h \: = 40cm \\ volume \: of \: cylinder \: = \pi \times r ^{2} \times h \\ \longrightarrow \frac{22}{7} \times (17.5)^{2} \times 40 \\ \longrightarrow \: 38500cm ^{2}$